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Canadian Journal of Mathematics-Journal Canadien De Mathematiques最新文献

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CJM volume 75 issue 6 Cover and Back matter CJM第75卷第6期封面和封底
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-20 DOI: 10.4153/s0008414x23000627
{"title":"CJM volume 75 issue 6 Cover and Back matter","authors":"","doi":"10.4153/s0008414x23000627","DOIUrl":"https://doi.org/10.4153/s0008414x23000627","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135616725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Infinite families of Artin-Schreier function fields with any prescribed class group rank 具有任意指定类群秩的Artin-Schreier函数域的无限族
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-19 DOI: 10.4153/s0008414x23000652
Jinjoo Yoo, Yoonjin Lee
{"title":"Infinite families of Artin-Schreier function fields with any prescribed class group rank","authors":"Jinjoo Yoo, Yoonjin Lee","doi":"10.4153/s0008414x23000652","DOIUrl":"https://doi.org/10.4153/s0008414x23000652","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135778917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
CATEGORY FOR TRUNCATED CURRENT LIE ALGEBRAS 截断电流李代数的范畴
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-19 DOI: 10.4153/s0008414x23000664
MATTHEW CHAFFE, LEWIS TOPLEY
{"title":"CATEGORY FOR TRUNCATED CURRENT LIE ALGEBRAS","authors":"MATTHEW CHAFFE, LEWIS TOPLEY","doi":"10.4153/s0008414x23000664","DOIUrl":"https://doi.org/10.4153/s0008414x23000664","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135778783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The second fundamental form of the real Kaehler submanifolds 实际Kaehler子流形的第二种基本形式
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-18 DOI: 10.4153/s0008414x23000615
Sergio Chion, Marcos Dajczer
{"title":"The second fundamental form of the real Kaehler submanifolds","authors":"Sergio Chion, Marcos Dajczer","doi":"10.4153/s0008414x23000615","DOIUrl":"https://doi.org/10.4153/s0008414x23000615","url":null,"abstract":"Abstract Let $fcolon M^{2n}to mathbb {R}^{2n+p}$ , $2leq pleq n-1$ , be an isometric immersion of a Kaehler manifold into Euclidean space. Yan and Zheng (2013, Michigan Mathematical Journal 62, 421–441) conjectured that if the codimension is $pleq 11$ , then, along any connected component of an open dense subset of $M^{2n}$ , the submanifold is as follows: it is either foliated by holomorphic submanifolds of dimension at least $2n-2p$ with tangent spaces in the kernel of the second fundamental form whose images are open subsets of affine vector subspaces, or it is embedded holomorphically in a Kaehler submanifold of $mathbb {R}^{2n+p}$ of larger dimension than $2n$ . This bold conjecture was proved by Dajczer and Gromoll just for codimension 3 and then by Yan and Zheng for codimension 4. In this paper, we prove that the second fundamental form of the submanifold behaves pointwise as expected in case that the conjecture is true. This result is a first fundamental step for a possible classification of the nonholomorphic Kaehler submanifolds lying with low codimension in Euclidean space. A counterexample shows that our proof does not work for higher codimension, indicating that proposing $p=11$ in the conjecture as the largest codimension is appropriate.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135884272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The solvability for a nonlinear degenerate hyperbolic-parabolic coupled system arising from nematic liquid crystals 由向列液晶引起的非线性退化双曲-抛物耦合系统的可解性
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-13 DOI: 10.4153/s0008414x23000640
Yanbo Hu
{"title":"The solvability for a nonlinear degenerate hyperbolic-parabolic coupled system arising from nematic liquid crystals","authors":"Yanbo Hu","doi":"10.4153/s0008414x23000640","DOIUrl":"https://doi.org/10.4153/s0008414x23000640","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135853163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
LAMBERT SERIES OF LOGARITHM, THE DERIVATIVE OF DENINGER’S FUNCTION AND A MEAN VALUE THEOREM FOR 朗伯级数的对数，德宁格函数的导数和一个中值定理
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-11 DOI: 10.4153/s0008414x23000597
SOUMYARUP BANERJEE, ATUL DIXIT, SHIVAJEE GUPTA
{"title":"LAMBERT SERIES OF LOGARITHM, THE DERIVATIVE OF DENINGER’S FUNCTION AND A MEAN VALUE THEOREM FOR","authors":"SOUMYARUP BANERJEE, ATUL DIXIT, SHIVAJEE GUPTA","doi":"10.4153/s0008414x23000597","DOIUrl":"https://doi.org/10.4153/s0008414x23000597","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136057468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Weighted nonlinear flag manifolds as coadjoint orbits 作为伴随轨道的加权非线性标志流形
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-09 DOI: 10.4153/s0008414x23000585
Stefan Haller, Cornelia Vizman
{"title":"Weighted nonlinear flag manifolds as coadjoint orbits","authors":"Stefan Haller, Cornelia Vizman","doi":"10.4153/s0008414x23000585","DOIUrl":"https://doi.org/10.4153/s0008414x23000585","url":null,"abstract":"Abstract A weighted nonlinear flag is a nested set of closed submanifolds, each submanifold endowed with a volume density. We study the geometry of Fréchet manifolds of weighted nonlinear flags, in this way generalizing the weighted nonlinear Grassmannians. When the ambient manifold is symplectic, we use these nonlinear flags to describe a class of coadjoint orbits of the group of Hamiltonian diffeomorphisms, orbits that consist of weighted isotropic nonlinear flags.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135095368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Asymptotics for symmetrized positive moments of odd ranks 奇阶对称正矩的渐近性
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-09 DOI: 10.4153/s0008414x23000603
Edward Y.S. Liu
{"title":"Asymptotics for symmetrized positive moments of odd ranks","authors":"Edward Y.S. Liu","doi":"10.4153/s0008414x23000603","DOIUrl":"https://doi.org/10.4153/s0008414x23000603","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135095643","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Kudla-Millson form via the Mathai-Quillen formalism Kudla-Millson形式通过Mathai-Quillen形式主义
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-05 DOI: 10.4153/s0008414x23000573
Romain Branchereau
{"title":"The Kudla-Millson form via the Mathai-Quillen formalism","authors":"Romain Branchereau","doi":"10.4153/s0008414x23000573","DOIUrl":"https://doi.org/10.4153/s0008414x23000573","url":null,"abstract":"Abstract A crucial ingredient in the theory of theta liftings of Kudla and Millson is the construction of a $q$ -form $varphi_{KM}$ on an orthogonal symmetric space, using Howe's differential operators. This form can be seen as a Thom form of a real oriented vector bundle. We show that the Kudla-Millson form can be recovered from a canonical construction of Mathai and Quillen. A similar result was obtaind by Garcia for signature $(2,q)$ in case the symmetric space is hermitian and we extend it to arbitrary signature.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134946898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Tensor algebras of subproduct systems and noncommutative function theory 子积系统的张量代数与非交换函数理论
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-02 DOI: 10.4153/s0008414x2300055x
Michael Hartz, Orr Moshe Shalit
{"title":"Tensor algebras of subproduct systems and noncommutative function theory","authors":"Michael Hartz, Orr Moshe Shalit","doi":"10.4153/s0008414x2300055x","DOIUrl":"https://doi.org/10.4153/s0008414x2300055x","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135834559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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